Let's divide 648433 by 6
We want to divide 648433 by 6.

On to step 1:
The number 6 fits into 6 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 0 after subtracting 6 from 6.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 6

Moving on to step 2:
The number 6 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 4 to get 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 6

Moving on to step 3:
6 can be fit into 48 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
If we subtract 48 from 48, we get 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 6

Let's proceed to step 4:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 1080.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 6

Going ahead to step 5:
If we divide 43 by 6, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 10807.0
If we subtract 42 from 43, we get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

Step 6:
The number 6 fits into 13 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 108072.0
Subtract 12 from 13 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 6 fits into 10 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 108072.1
Subtract 6 from 10 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 108072.16
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 6 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 108072.166
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 108072.166 with a balance of 0.0004.